| 发展型H—半变分不等式解的存在性 |
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| 引用本文： | 刘振海,Simon L.发展型H—半变分不等式解的存在性[J].数学进展,2001,30(1):47-55. |
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| 作者姓名： | 刘振海 Simon L |
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| 作者单位： | 1. 长沙电力学院数学系,
2. Dept. of Applied Analysis, L.Eotvos University, |
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| 基金项目： | Supported by Natural
Science Foundation of Hunan Province |
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| 摘 要： | 本文研究非线性发展型H－半变分不等式，即具有非凸泛函的抛物型变分不等式，这类问题的研究起源于力学。利用Clarke广义梯度和（S＋）型多值映象的不动点理论，我们证明了这类问题解的存在性。并利用这一理论，研究了具间断项的非线性抛物型方程解的存在性。
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| 关 键 词： | 发展H－半变分不等式 多值映象 周期解 解 存在性 非线性抛物型方程 |
| 修稿时间： | 1997年10月27 |
Existence Results
forEvolution Hemivariational Inequalities |
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| Liu Zhenhai,Simon L.Existence Results
forEvolution Hemivariational Inequalities[J].Advances in Mathematics,2001,30(1):47-55. |
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| Authors: | Liu Zhenhai Simon L |
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| Abstract: | In this paper, we deal with nonlinear evolution hemivariational inequalities as a generalization to nonconvex functionals of the parabolic variational inequalities. This extension is strongly motivated by various problems in mechanics. By use of the notion of the generalized gradient of Clarke and the theory of multivalued (S ) type mappings, we show that there exists at least one solution and present applications of the abstract theory to parabolic equations with discontinuous nonlinearities. |
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| Keywords: | evolution hemivariational inequalities multivalued mappings periodic solutions |
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